Functional monadic ortholattices and locally finite $\sigma$-free polyadic ortholattices

Chun-Yu Lin; Joseph McDonald

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arXiv · 2506.08271

Functional monadic ortholattices and locally finite $\sigma$-free polyadic ortholattices

Chun-Yu Lin·Joseph McDonald

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Abstract

In this paper, we show that every monadic ortholattice is isomorphic to a functional one, thereby resolving a recent question posed by Harding. We then study certain substitution-free reducts of the polyadic ortholattices, which we call locally finite $\sigma$-free polyadic ortholattices, and provide an analogous functional representation result.

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BibTeX RIS

Chun-Yu Lin, Joseph McDonald. 2025-06-09. Functional monadic ortholattices and locally finite $\sigma$-free polyadic ortholattices. https://arxiv.org/abs/2506.08271

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